Geodesic
SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 413-423

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be an n-dimensional closed hypersurface with constant mean curvature H satisfying |H| ≤ ε(n) in a unit sphere Sn+1, n ≤ 7, and S the square of the length of the second fundamental form of M. There exists a constant δ(n, H) > 0, which depends only on n and H, such that if S0 ≤ S ≤ S0 + δ(n, H), then S ≡ S0 and M is isometric to a Clifford hypersurface, where ε(n) is a sufficiently small constant depending on n and .
DOI : 10.1017/S0017089509005187
Mots-clés : Primary 53C42, Secondary 53B25 
CHENG, QING-MING; HE, YIJUN; LI, HAIZHONG. SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 413-423. doi: 10.1017/S0017089509005187
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